What is 3.5 in fraction

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what is 3.5 in fraction

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What is 3.5 in fraction?

Answer: To convert the decimal number 3.5 into a fraction, follow these steps:

  1. Identify the decimal point: The decimal number 3.5 consists of the whole number 3 and the decimal part 0.5.

    • The decimal 0.5 can be interpreted as \frac{5}{10} because “5” is in the tenths place.

  2. Simplify the decimal part: Simplify the fraction \frac{5}{10} by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 5 and 10 is 5.

    \frac{5 \div 5}{10 \div 5} = \frac{1}{2}

  3. Combine the whole number with the simplified fraction: The whole number is 3, and the simplified fraction equivalent of 0.5 is \frac{1}{2}.

    • Therefore, 3.5 can be written as a mixed number: 3 \frac{1}{2}.

  4. Convert the mixed number to an improper fraction (optional): To convert the mixed number to an improper fraction, multiply the whole number (3) by the denominator of the fraction (2) and add the numerator of the fraction (1).

    3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}

Hence, the decimal 3.5 can be represented as the mixed number 3 \frac{1}{2} or the improper fraction \frac{7}{2}.

So, 3.5 in fraction form is either 3 \frac{1}{2} or \frac{7}{2}.